Fascism and socialism are two very different ideologies.

Fascism emphasizes a return to the "glory days" of the country and exaults a cult of personality around the leader. The word itself comes from the Latin fasces, a bundle of sticks surrounding an axe that was used as a symbol for the power in the ancient Roman Empire. (And actually the ancient Roman Republic before that.) Fascist Italians were seeking, in a sense, to "Make Italy Great Again."

You might also remember the classic picture of Mussolini, seven stories tall, on the side of a building in Rome (I think Rome, might've been another city). I don't know much about how Mussolini acquired power, but once he was Il Duce, he indoctrinated the Italian people with nationalistic and populist ideologies that played on Italian exceptionalism themes.

While the Italian Fascist government did seize control of industry, it was done for the glorification of the nation. Socialism, at the core of its philosophy, is about redistribution of wealth (because every individual is equally valuable); Fascism was about the subordination of the individual interest to the greater whole, i.e., the state. The economic means were similar (state-run corporations), and the ends were similar (autocratic state), but the philosophies are almost diametrically opposite. That's why Mussolini and Stalin did not get along so well.

(National Socialism, or Nazism, it probably does not need to be said, despite its name, is more like fascism than communism. Mussolini and Hitler we're good buds. But that's a different conversation.)

TL;DR: Fascism is about glorification of the state, socialism is about redistribution of wealth.

lol. Both corporations and the state would be abolished under communism.

They. Are. The. Same.

Control of the economy aka people.